7,007,850

2 × 3³ × 5² × 29 × 179

7,007,850 has digital root 9. The neighboring primes are 7007831 and 7007857; its proper-divisor sum differs from the starting integer by 6,072,300.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 29 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,088,000

Proper Divisor Sum 13,080,150

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7007831 ← → #7007857

Radix Representation

Decimal	7007850
Binary	11010101110111001101010 (23 bits)
Octal	0o32567152
Hexadecimal	0x6AEE6A

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 179 225 261 270 290 358 435 450 522 537 675 725 783 870 895 1,074 1,305 1,350 1,450 1,566 1,611 1,790 2,175 2,610 2,685 3,222 3,915 4,350 4,475 4,833 5,191 5,370 6,525 7,830 8,055 8,950

Collatz Trajectory (72 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,007,850 3,503,925 10,511,776 5,255,888 2,627,944 1,313,972 656,986 328,493 985,480 492,740 246,370 123,185 369,556 184,778 92,389 277,168 138,584 69,292 34,646 17,323 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35

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